Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897846 | Linear Algebra and its Applications | 2018 | 16 Pages |
Abstract
For râ¥3, let fr:[0,â)â[1,â) be the unique analytic function such that fr((kr))=(kâ1râ1) for any kâ¥râ1. We prove that the spectral radius of an r-uniform hypergraph H with e edges is at most fr(e). The equality holds if and only if e=(kr) for some positive integer k and H is the union of a complete r-uniform hypergraph Kkr and some possible isolated vertices. This result generalizes the classical Stanley's theorem on graphs.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Shuliang Bai, Linyuan Lu,